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Finding the Third Proportional to 2,285,836 and 3,113,415

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Solution

The third proportional to 2,285,836 and 3,113,415 is: 4,240,616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285,836 : 3,113,415 = 3,113,415 : x
  2. Step 2: Convert to fraction form
    2,285,836/3,113,415 = 3,113,415/x
  3. Step 3: Cross multiply
    2,285,836x = 3,113,415 × 3,113,415
  4. Step 4: Simplify right side
    2,285,836x = 9,693,352,962,225
  5. Step 5: Solve for x
    x = 9,693,352,962,225/2,285,836
  6. Step 6: Final answer
    x = 4,240,616.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.